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Finding the Fourth Proportional to 16,453.67, 24,680.09 and 7,698.38

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Solution

The fourth proportional to 16,453.67, 24,680.09 and 7,698.38 is: 11,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.67 : 24,680.09 = 7,698.38 : x
  2. Step 2: Convert to fraction form
    16,453.67/24,680.09 = 7,698.38/x
  3. Step 3: Cross multiply
    16,453.67x = 24,680.09 × 7,698.38
  4. Step 4: Simplify right side
    16,453.67x = 189,996,711.25
  5. Step 5: Solve for x
    x = 189,996,711.25/16,453.67
  6. Step 6: Final answer
    x = 11,547.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.